This is a picture of a cube and the net for the cube.

Question

What is the surface area of the cube?

Responses

48 mm²
48 mm²

64 mm²
64 mm²

112 mm²
112 mm²

384 mm²
384 mm²
A cube and a net of the cube are shown. The edge length of the cube is labeled 8 millimeters. The net consists of 4 squares connected horizontally, and 1 square attached to the top of the fourth square and 1 square attached to the bottom of the first square. One square in the net is labeled with a side length 8 millimeters.

Answer 1

To find the surface area of a cube, you can use the formula:

\[ \text{Surface Area} = 6 \times \text{side length}^2 \]

In this case, the side length of the cube is given as 8 millimeters. So, we will calculate the surface area as follows:

\[ \text{Surface Area} = 6 \times (8 , \text{mm})^2 \]

Calculating \( (8 , \text{mm})^2 \):

\[ (8 , \text{mm})^2 = 64 , \text{mm}^2 \]

Now, substitute this back into the surface area formula:

\[ \text{Surface Area} = 6 \times 64 , \text{mm}^2 \] \[ \text{Surface Area} = 384 , \text{mm}^2 \]

So, the surface area of the cube is 384 mm².